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Finding the Fourth Proportional to 205.88, 306.17 and 199.39

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Solution

The fourth proportional to 205.88, 306.17 and 199.39 is: 296.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.88 : 306.17 = 199.39 : x
  2. Step 2: Convert to fraction form
    205.88/306.17 = 199.39/x
  3. Step 3: Cross multiply
    205.88x = 306.17 × 199.39
  4. Step 4: Simplify right side
    205.88x = 61,047.74
  5. Step 5: Solve for x
    x = 61,047.74/205.88
  6. Step 6: Final answer
    x = 296.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.